Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
93104bf |
Isogeny class |
Conductor |
93104 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1115136 |
Modular degree for the optimal curve |
Δ |
37124691312287744 = 213 · 113 · 237 |
Discriminant |
Eigenvalues |
2- 2 -3 5 11- -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97512,7203824] |
[a1,a2,a3,a4,a6] |
j |
169112377/61226 |
j-invariant |
L |
4.0155558276669 |
L(r)(E,1)/r! |
Ω |
0.33462966610005 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638e1 4048g1 |
Quadratic twists by: -4 -23 |